Global Well-Posedness and Finite-Time Blow-Up of Some Heat-Type Equations

DOI10.1017/S0013091516000213zbMath1367.35174OpenAlexW2548486817MaRDI QIDQ2989998

Tarek Saanouni

Publication date: 9 June 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091516000213

zbMATH Keywords

well-posednessStrichartz estimate\(p\)-Laplacian parabolic equationMoser-Trudinger inequalityhigh-order heat-type equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Higher-order parabolic systems (35K41)

Related Items (3)

Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity ⋮ Finite time blow-up for some nonlinear evolution equations ⋮ Remarks on the critical nonlinear high-order heat equation

This page was built for publication: Global Well-Posedness and Finite-Time Blow-Up of Some Heat-Type Equations